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Discovery Early Career Researcher Award - Grant ID: DE160101147

Title
Discovery Early Career Researcher Award - Grant ID: DE160101147
Funding
ARC | Discovery Early Career Researcher Award
Contract (GA) number
DE160101147
Start Date
2016/01/01
End Date
2020/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DE160101147

 

  • Variable Order Fractional Fokker-Planck Equations derived from Continuous Time Random Walks

    Continuous Time Random Walk models (CTRW) of anomalous diffusion are studied, where the anomalous exponent $\beta(x) \in (0,1)$ varies in space. This type of situation occurs e.g. in biophysics, where the density of the intracellular matrix varies throughout a cell. Scaling limits of CTRWs are known to have probability distributions which solve fractional Fokker-Planck type equations (FFPE). This correspondence between stochastic processes and FFPE solutions has many useful extensions e.g. to...

    Peaks Over Threshold for Bursty Time Series

    Hees, Katharina; Nayak, Smarak; Straka, Peter (2018)
    Projects: ARC | Discovery Early Career Researcher Award - Grant ID: DE160101147 (DE160101147)
    In many complex systems studied in statistical physics, inter-arrival times between events such as solar flares, trades and neuron voltages follow a heavy-tailed distribution. The set of event times is fractal-like, being dense in some time windows and empty in others, a phenomenon which has been dubbed "bursty". This article generalizes the Peaks Over Threshold (POT) model to the setting where inter-event times are heavy-tailed. For high thresholds and infinite-mean waiting times, we show th...
  • No project research data found
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